How to Convert Mixed Fractions to Improper Fractions

We have already learned how to convert improper fractions to mixed fractions.  In this post, we are going to learn how to convert mixed fractions to improper fractions.  In converting mixed fractions to improper fractions, the denominator stays as it is. You only have to calculate for the numerator.  To get the numerator of the improper fraction, multiply the denominator to the whole number and then add the numerator of the mixed fraction.

Let’s have three examples.

Example 1

Convert 6 \displaystyle \frac{2}{5} to improper fraction. » Read more

Answers to the Multiplying Fractions Practice Test

In the previous post, we have learned how to multiply fractions. We have learned that it is Below are the solutions and answers to the Practice Test on Multiplying Fractions.  If you have forgotten the methods of calculation, you can read How to Multiply Fractions.

The methods shown in some of the solutions below is only one among the many. I have mentioned some tips, but I don’t want to fill the solution with short cuts because there are times that when you forget the shortcut, you are not able to solve the problem. My advice if you want to pass the Civil Service Examination for Numerical Literacy is to master the basics, practice a lot, and develop your own shortcuts. » Read more

Practice Test on Multiplying Fractions

In the previous post, we have learned how to multiply fractions. We have learned that it is the easiest operation on fractions. To multiply fraction, we just have to multiply the numerators and then the denominators. That is a fraction \frac{a}{b} multiplied by \frac{c}{d} is equal to \frac{a \times c}{b \times d}.

Practice Test on Multiplying Fractions

Below are the exercises on multiplying fractions.  Multiply the fractions and reduce your answers to the lowest terms. If the answer is an improper fraction, convert the improper fraction to mixed fraction.

1. \displaystyle \frac{2}{3} \times \frac{4}{5} » Read more

How to Multiply Fractions

Among the four fundamental operations on fractions, multiplication is the easiest. It is just simple. Multiply the numerator and then the denominator. Of course, if the given fractions can be converted to lowest terms, the easier the multiplication will be.

In this post, we are going to learn how to multiply fractions. You must master this operation, as well as other fundamental operations on fractions because you will use them in higher mathematics and solving word problems. Below are some examples.

Example 1

\displaystyle \frac{4}{5} \times \frac{1}{3} » Read more

Answers to Practice Test on Converting Improper Fraction to Mixed Number

This is the complete solutions and answers to the Practice Test on Converting Improper Fraction to Mixed Number. As illustrated in the image below, the quotient in the division becomes the whole number in the mixed fraction, the remainder in the division becomes the numerator of the fraction part of mixed fraction, and the denominator from the improper fraction becomes  the denominator of the fractional part of the mixed fraction.

improper fraction to mixed number

In the solutions below, all answers were also reduced to lowest terms.

» Read more

Practice Test on Converting Improper Fractions to Mixed Number

In the previous post, we have learned how to convert improper fractions to mixed number . Now, try the following exercises. All the answers must also be reduced to lowest terms. Good luck.

1.) 22/7

2.) 81/6

3.) 55/10

4.) 76/32 » Read more

How to Convert Improper Fractions to Mixed Forms

In Introduction to Functions, we have learned about proper and improper fractions. A fraction whose numerator (the number above the fraction bar) is less than its denominator (the number below the fraction bar) is called a proper fraction. Therefore, \frac{1}{3}, \frac{2}{5} and \frac{11}{20} are proper fractions.

On the other hand,  a fraction whose numerator is greater than its denominator is called an improper fraction. Therefore the fractions \frac{21}{7}, \frac{8}{3} and \frac{67}{5} are improper fractions.

In the Civil Service Examinations, some fractions need to be converted from one form to another. For example, in answering a number series test, you might need to convert an improper fraction to mixed form in order to compare it to other fractions in mixed form. In this post, we learn this method: how to convert an improper fraction to mixed form.

In converting improper fractions to mixed form you will just have to divide the fraction, find its quotient and its remainder. Remember that the fraction \frac{34}{5} also means 34 divided by 5. » Read more

Solution to the Exercises on Reducing Fractions to Lowest Terms

Below are the complete solutions and answers to the exercises on reducing fractions to lowest terms. I will not give any tips or methods of shortcuts on doing this because teaching you shortcuts will give you problems in case you forget them. The best thing that you can do is to solve as many related problems as you can and develop shortcuts that work for you. Each person has his own preference in solving procedural problems such as these, so it is important that you discover what’s best for you.

For converting improper fractions to mixed form, I will discuss it in a separate post. Try to see the solutions below and see if you can use these solutions to develop your own method. Honestly, the three examples below on converting improper fractions to mixed form should be enough to teach you how to do it yourself. 🙂 » Read more

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